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Finding the Fourth Proportional to 75,755.79, 113,508.05 and 46,083.87

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Solution

The fourth proportional to 75,755.79, 113,508.05 and 46,083.87 is: 69,049.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,755.79 : 113,508.05 = 46,083.87 : x
  2. Step 2: Convert to fraction form
    75,755.79/113,508.05 = 46,083.87/x
  3. Step 3: Cross multiply
    75,755.79x = 113,508.05 × 46,083.87
  4. Step 4: Simplify right side
    75,755.79x = 5,230,889,989.73
  5. Step 5: Solve for x
    x = 5,230,889,989.73/75,755.79
  6. Step 6: Final answer
    x = 69,049.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.